229680 has 120 divisors (see below), whose sum is σ = 870480. Its totient is φ = 53760.
The previous prime is 229639. The next prime is 229681. The reversal of 229680 is 86922.
It is a tau number, because it is divible by the number of its divisors (120).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (229681) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7906 + ... + 7934.
It is an arithmetic number, because the mean of its divisors is an integer number (7254).
2229680 is an apocalyptic number.
229680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
229680 is the 240-th decagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 229680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435240).
229680 is an abundant number, since it is smaller than the sum of its proper divisors (640800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
229680 is a wasteful number, since it uses less digits than its factorization.
229680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59 (or 50 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 229680 is about 479.2494131452. The cubic root of 229680 is about 61.2408288365.
It can be divided in two parts, 229 and 680, that added together give a palindrome (909).
The spelling of 229680 in words is "two hundred twenty-nine thousand, six hundred eighty".
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